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Representations of Each Number Type That Differ by Scale Factors

Representations of Each Number Type That Differ by Scale Factors
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摘要 For each type of number, structures that differ by arbitrary scaling factors and are isomorphic to one another are described. The scaling of number values in one structure, relative to the values in another structure, must be compensated for by scaling of the basic operations and relations (if any) in the structure. The scaling must be such that one structure satisfies the relevant number type axioms if and only if the other structure does. For each type of number, structures that differ by arbitrary scaling factors and are isomorphic to one another are described. The scaling of number values in one structure, relative to the values in another structure, must be compensated for by scaling of the basic operations and relations (if any) in the structure. The scaling must be such that one structure satisfies the relevant number type axioms if and only if the other structure does.
作者 Paul Benioff
机构地区 Physics Division
出处 《Advances in Pure Mathematics》 2013年第4期394-404,共11页 理论数学进展(英文)
关键词 NUMBER TYPES STRUCTURES Number Types Structures
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